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150399568 = 24112979373
BaseRepresentation
bin10001111011011…
…10101001010000
3101111000002102101
420331232221100
5302000241233
622531330144
73504242464
oct1075565120
9344002371
10150399568
1177995470
1242450954
132520ba37
1415d904a4
15d30cc7d
hex8f6ea50

150399568 has 80 divisors (see below), whose sum is σ = 333907200. Its totient is φ = 64995840.

The previous prime is 150399517. The next prime is 150399583. The reversal of 150399568 is 865993051.

150399568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403030 + ... + 403402.

It is an arithmetic number, because the mean of its divisors is an integer number (4173840).

Almost surely, 2150399568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150399568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166953600).

150399568 is an abundant number, since it is smaller than the sum of its proper divisors (183507632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150399568 is a wasteful number, since it uses less digits than its factorization.

150399568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 46.

The square root of 150399568 is about 12263.7501605341. The cubic root of 150399568 is about 531.8006489220.

The spelling of 150399568 in words is "one hundred fifty million, three hundred ninety-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 79 88 116 158 176 232 316 319 373 464 632 638 746 869 1264 1276 1492 1738 2291 2552 2984 3476 4103 4582 5104 5968 6952 8206 9164 10817 13904 16412 18328 21634 25201 29467 32824 36656 43268 50402 58934 65648 86536 100804 117868 118987 173072 201608 235736 237974 324137 403216 471472 475948 648274 854543 951896 1296548 1709086 1903792 2593096 3418172 5186192 6836344 9399973 13672688 18799946 37599892 75199784 150399568